Open Access
2000 Solvability of quasilinear elliptic equations with strong dependence on the gradient
Darko Žubrinić
Abstr. Appl. Anal. 5(3): 159-173 (2000). DOI: 10.1155/S1085337500000324


We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its gradient. The elliptic problem is studied by relating it to the corresponding singular ordinary integro-differential equation. Solvability range is obtained in the form of simple inequalities involving the coefficients describing the problem. We also study a posteriori regularity of solutions. An existence result is formulated for elliptic equations on arbitrary bounded domains in dependence of outer radius of domain.


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Darko Žubrinić. "Solvability of quasilinear elliptic equations with strong dependence on the gradient." Abstr. Appl. Anal. 5 (3) 159 - 173, 2000.


Published: 2000
First available in Project Euclid: 10 April 2003

zbMATH: 1005.35043
MathSciNet: MR1885553
Digital Object Identifier: 10.1155/S1085337500000324

Primary: 35J60 , 45J05

Rights: Copyright © 2000 Hindawi

Vol.5 • No. 3 • 2000
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